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4.14 According to a Gallup poll, 60% of American adults prefer saving over spending Let X - the number of American adults out of a

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4.14 According to a Gallup poll, 60% of American adults prefer saving over spending Let X - the number of American adults out of a random sample of 50 who prefer saving to spending. a. What is the probability distribution for X? O X ~ B(0.60,50) O X ~ B (50, 60) O X ~ B (50, 0.60) O X ~ B(50) O X ~ B(60) b. Use Python Code to find the following probabilities: Round your answers to four decimal places. i. the probability that 25 adults in the sample prefer saving overspending Number Il. the probability that at most 23 adults prefer saving Number iil. the probability that more than 32 adults prefer saving Number C. Using Python Code, calculate the (i) mean and (ii) standard deviation of X. Round your answers to two decimal places, if necessary. 1. Mean = Number ii. Standard Deviation = Number

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